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regular representation of permutations implemented

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Jiri Pittner
2024-01-18 23:45:42 +01:00
parent 2cb5258cd0
commit 13c23fb85d
4 changed files with 103 additions and 8 deletions
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28
t.cc
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@@ -88,10 +88,12 @@ cout<<p;
}
static NRMat<PERM_RANK_TYPE> Snmtable;
static int unitary_n;
static PERM_RANK_TYPE space_dim;
static NRVec<PermutationAlgebra<int,int> > allyoung;
static NRVec<NRMat<int> >allyoungmat;
static NRVec<NRMat<int> >allyoungregular;
static NRVec<int> allyoung_irrep;
int current_irrep;
int allyoung_index;
@@ -103,7 +105,9 @@ if(!y.is_standard()) laerror("internal error in young");
allyoung[allyoung_index] = y.young_operator();
cout <<"Young "<<allyoung_index<<" (irrep "<<current_irrep<<") = "<<allyoung[allyoung_index]<<endl;
allyoungmat[allyoung_index] = NRMat<int>(allyoung[allyoung_index],false);
cout <<"Matrix representation = "<<allyoungmat[allyoung_index];
allyoungregular[allyoung_index] = RegularRepresentation(allyoung[allyoung_index],Snmtable);
//cout <<"Matrix representation = "<<allyoungmat[allyoung_index];
cout <<"Regular representation = "<<allyoungregular[allyoung_index];
allyoung_irrep[allyoung_index]=current_irrep;
allyoung_index++;
}
@@ -2246,9 +2250,14 @@ cin >>n >>unitary_n;
Sn_characters<int> Sn(n);
cout <<Sn;
if(!Sn.is_valid()) laerror("internal error in Sn character calculation");
Snmtable = Multable(n);
cout <<"Multiplication table = "<<Snmtable<<endl;
cout <<"allyoung.resize "<<Sn.sumirrepdims()<<endl;
allyoung.resize(Sn.sumirrepdims());
allyoungmat.resize(Sn.sumirrepdims());
allyoungregular.resize(Sn.sumirrepdims());
allyoung_irrep.resize(Sn.sumirrepdims());
allyoung_index=0;
@@ -2264,14 +2273,23 @@ for(int i=0; i<allyoung.size(); ++i)
{
for(int j=0; j<allyoung.size(); ++j)
{
//cout <<"Young "<<i<<" "<<allyoung[i]<<endl;
//cout <<"Young "<<j<<" "<<allyoung[j]<<endl;
// cout <<"Young "<<i<<" "<<allyoung[i]<<endl;
// cout <<"Young "<<j<<" "<<allyoung[j]<<endl;
PermutationAlgebra<int,int> r=allyoung[i]*allyoung[j];
NRMat<int> rm(r,false,n);
NRMat<int> rm2 = allyoungmat[i]*allyoungmat[j];
cout <<"Product of Young "<<i<<" and "<<j<<" = "<<r<<"\n"<<"matrix "<<rm<<endl;
if(rm!=rm2) laerror("internal error in matrix representation of permutationalgebra");
NRMat<int> rreg=RegularRepresentation(r,Snmtable);
NRMat<int> rreg2=allyoungregular[i]*allyoungregular[j];
cout <<"Product of Young "<<i<<" and "<<j<<" = "<<r<<endl;
//cout<<"matrix "<<rm<<endl;
if(i!=j && !r.is_zero()) cout <<"NONORTHOGONAL Young operators found "<<i<< " "<<j<<" (irreps "<<allyoung_irrep[i]<<" "<<allyoung_irrep[j]<<")\n";
if(rreg!=rreg2)
{
cout <<"Representation of product = "<<rreg;
cout <<"Product of representations = "<<rreg2;
laerror("internal error in multiplication of permutationalgebra");
}
if(rm!=rm2) laerror("internal error in matrix representation of permutationalgebra");
if(allyoung_irrep[i]!=allyoung_irrep[j] && !r.is_zero()) laerror("internal error in PermutationAlgebra");
}
}